The 11-coloring-preserving $(2,5)$ and $(4,-3)$ move conjecture

A rational $(m,q)$-move is the local move corresponding to the indicated rational tangle, and its inverse and mirror-image moves are also allowed. The Fox $11$-coloring space of a link is the abelian group of Fox colorings with colors in $\mathbb{Z}_{11}$. 11-coloring-preserving move conjecture. Every link can be reduced to a trivial link, with the same space of $11$-colorings, by $(2,5)$-moves and $(4,-3)$-moves, their inverses, and mirror images. This is presented as the $p=11$ instance arising from the rational move conjecture. The source gives no general resolution.